Question

If a = i + 6j +k and b = i + 13j + k, find a unit vector with positive first coordinate orthogonal to both a and b.

Answer 1

cross product both, divide by lenght of resultant vector

Answer 2

divide by length of resultant vector? not sure what you mean?

Answer 3

in order to have a unit vector , its magnitude must be 1, in order to archieve that you need to divede by the magnitude of the resultant vector, defined by sqrt(sum of components^2)

Answer 4

oh okay...thx dude

Answer 5

i still don't know what he's talkign about with resultant vector lol

Answer 6

let \[v=a\times b\]

then let \[u=\frac{v}{\|v\|}\]

Answer 7

so divide by the magnitude of the vector of the cross product?

Answer 8

the resultant vector mik_wind is talking about is what I called v

Answer 9

yea now i get it...the resulting vector lol....my brain is clearly fried today